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21132321000 = 2335371006301
BaseRepresentation
bin10011101011100101…
…011010000011101000
32000112202012010122120
4103223211122003220
5321234333233000
613412534551240
71345451523210
oct235345320350
960482163576
1021132321000
118a6470a5aa
124119208520
131cba163b6b
141046839240
1583a3886a0
hex4eb95a0e8

21132321000 has 128 divisors (see below), whose sum is σ = 75351893760. Its totient is φ = 4830240000.

The previous prime is 21132320969. The next prime is 21132321013. The reversal of 21132321000 is 12323112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482151 + ... + 524150.

It is an arithmetic number, because the mean of its divisors is an integer number (588686670).

Almost surely, 221132321000 is an apocalyptic number.

21132321000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132321000 is an abundant number, since it is smaller than the sum of its proper divisors (54219572760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21132321000 is a wasteful number, since it uses less digits than its factorization.

21132321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006332 (or 1006318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21132321000 its reverse (12323112), we get a palindrome (21144644112).

The spelling of 21132321000 in words is "twenty-one billion, one hundred thirty-two million, three hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 1006301 2012602 3018903 4025204 5031505 6037806 7044107 8050408 10063010 12075612 14088214 15094515 20126020 21132321 24151224 25157525 28176428 30189030 35220535 40252040 42264642 50315050 56352856 60378060 70441070 75472575 84529284 100630100 105661605 120756120 125787625 140882140 150945150 169058568 176102675 201260200 211323210 251575250 281764280 301890300 352205350 377362875 422646420 503150500 528308025 603780600 704410700 754725750 845292840 880513375 1006301000 1056616050 1408821400 1509451500 1761026750 2113232100 2641540125 3018903000 3522053500 4226464200 5283080250 7044107000 10566160500 21132321000